8) Find the cross product a x b and verify that it is orthogonal to both a and b. a = (1, 1, -1),   b = (2, 4, 6)

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Q: logarithm

A: We will expand the logarithms. 

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Q: b. Find all solutions, if any exist, by using Gauss – Jordan reduction method.

A: Follow the procedure given below.

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A: Given: Which is the process of using implicit differentiation?  

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A: Find

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A: Natural logarithm is denoted as 'ln' and common logarithm is denoted as 'log'.

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A: Given query is to find the value of the integral  

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A: Given query is to find the value of the integral.

Q: Thankyouuu

A: We will find the differential equation of order 2.

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Q: Find the indefinite integral. (Use C for the constant of integration.) (5 cos x + 7 sin x) dx

A: ∫5cosx+7sinx dx∫5cosx dx+∫7sinx dx

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A: Find your answer below 

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A:

Q: Tutorial Exercise Find two numbers whose difference is 186 and whose product is a minimum. Part 1 of...

A: Let's find. 

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A: Given query is to find that function is continuous or not at given point.

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A: Find the general solution

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A: Given problem:-

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Q: Of all rectangles with area 25, which one has the minimum perimeter? Of all rectangles with area 25,...

A: We will find the dimensions with the minimum perimeter. 

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A: We can find the required answer as below.

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Q: (ii) Find the following indefinite integrals: 1 (a) dx (b) dx 5 - x* xe* ! dx (c)

A: A)I=∫ 1x3+1x3 dxI=∫ x-3 dx + ∫ x-13 dxI=x-3+1-3+1 +x-13+1-13+1 +CI=-12x2+3 x232 +CI=32x23 -12x2+C

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Q: find the general solution of the differential equation. y'+2y = xe-2x,    y(1)=0

A:

Q: 9 checik whether the following statemects are true or False. lif En an is conditionally convergent, ...

A: For (i), Let us take an=(-1)nn. So, the series ∑n=1∞an is conditionally convergent but ∑n=1∞an is di...

Q: Find the general solution of the differential equation y" +2y + 5y = 5 sin(2t). NOTE: Use c, and cg ...

A:

Q: PROBLEM [ B6 (a) ] : Obtain the differential equation whose general solution is y = a sin 3x – b cos...

A: for get differential equation we have to differentiate the general solution with respect to x y = as...

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A: We have to find the area between the curves.

Q: (iv) Consider the arrangements in a line of all the letters of the word ISOLATION (a) Calculate how ...

A: Here, the given word is ISOLATION which has 2 Is and 2 Os.

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Q: Set up an integral for the area of the shaded region. Evaluate the integral to find the area of the ...

A: This question can be solved using the concept of area under curve.

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A:

Q: Of all rectangles with a perimeter of 32, which one has the maximum area? (Give the dimensions.) The...

A: To find the length and width of the rectangle that has perimeter of 32 with maximum possible area. L...

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A: A right circular cylinder have a capacity of 36 in3.

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A: In this question we have to find x-intercepts.

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A: